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Finding the Third Proportional to 83,314 and 129,041

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Solution

The third proportional to 83,314 and 129,041 is: 199,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314 : 129,041 = 129,041 : x
  2. Step 2: Convert to fraction form
    83,314/129,041 = 129,041/x
  3. Step 3: Cross multiply
    83,314x = 129,041 × 129,041
  4. Step 4: Simplify right side
    83,314x = 16,651,579,681
  5. Step 5: Solve for x
    x = 16,651,579,681/83,314
  6. Step 6: Final answer
    x = 199,865.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.